GCD of 363, 838, 712, 164 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 363, 838, 712, 164 i.e. 1 largest integer that divides all the numbers equally.

GCD of 363, 838, 712, 164 is 1

GCD(363, 838, 712, 164) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 363, 838, 712, 164 is 1

GCD(363, 838, 712, 164) = 1

GCD of 363,838,712,164 Calculator

GCDof 363,838,712,164 is 1

Given Input numbers are 363, 838, 712, 164

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 363, 838, 712, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 838, 712, 164 is 1.

Therefore, GCD of numbers 363, 838, 712, 164 is 1

Finding GCD of 363, 838, 712, 164 using Prime Factorization

Given Input Data is 363, 838, 712, 164

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 838 is 2 x 419

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 164 is 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 363, 838, 712, 164 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(363, 838) = 304194

GCD(363, 838) = ( 363 x 838 ) / 304194

GCD(363, 838) = 304194 / 304194

GCD(363, 838) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 363, 838, 712, 164 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 363, 838, 712, 164

1. What is the GCD of 363, 838, 712, 164?

GCD of 363, 838, 712, 164 is 1


2. Where do I get the detailed procedure to find GCD of 363, 838, 712, 164?

You can find a detailed procedure to find GCD of 363, 838, 712, 164 on our page.


3. How to find GCD of 363, 838, 712, 164 on a calculator?

You can find the GCD of 363, 838, 712, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.